Mellin-Transform Method for Integral Evaluation (Record no. 85790)
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| 000 -LEADER | |
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| fixed length control field | 04064nam a22005055i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-031-01697-4 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240730164606.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 220601s2007 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783031016974 |
| -- | 978-3-031-01697-4 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 620 |
| 100 1# - AUTHOR NAME | |
| Author | Fikioris, George. |
| 245 10 - TITLE STATEMENT | |
| Title | Mellin-Transform Method for Integral Evaluation |
| Sub Title | Introduction and Applications to Electromagnetics / |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2007. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | IX, 67 p. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Synthesis Lectures on Computational Electromagnetics, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Introduction -- Mellin Transforms and theGamma Function -- Generalized Hypergeometric Functions, Meijer G-Functions, and Their Numerical Computation -- The Mellin-Transform Method of Evaluating Integrals -- Power Radiated by Certain Circular Antennas -- Aperture Admittance of a 2-D Slot Antenna -- An Integral Arising in the Theory of Biaxially Anisotropic Media -- On Closing the Contour -- Further Discussions -- Summary and Conclusions. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book introduces the Mellin-transform method for the exact calculation of one-dimensional definite integrals, and illustrates the application if this method to electromagnetics problems. Once the basics have been mastered, one quickly realizes that the method is extremely powerful, often yielding closed-form expressions very difficult to come up with other methods or to deduce from the usual tables of integrals. Yet, as opposed to other methods, the present method is very straightforward to apply; it usually requires laborious calculations, but little ingenuity. Two functions, the generalized hypergeometric function and the Meijer G-function, are very much related to the Mellin-transform method and arise frequently when the method is applied. Because these functions can be automatically handled by modern numerical routines, they are now much more useful than they were in the past. The Mellin-transform method and the two aforementioned functions are discussed first. Then the methodis applied in three examples to obtain results, which, at least in the antenna/electromagnetics literature, are believed to be new. In the first example, a closed-form expression, as a generalized hypergeometric function, is obtained for the power radiated by a constant-current circular-loop antenna. The second example concerns the admittance of a 2-D slot antenna. In both these examples, the exact closed-form expressions are applied to improve upon existing formulas in standard antenna textbooks. In the third example, a very simple expression for an integral arising in recent, unpublished studies of unbounded, biaxially anisotropic media is derived. Additional examples are also briefly discussed. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/978-3-031-01697-4 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2007. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
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| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
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| -- | rda |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Engineering. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Electrical engineering. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Telecommunication. |
| 650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Technology and Engineering. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Electrical and Electronic Engineering. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Microwaves, RF Engineering and Optical Communications. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 1932-1716 |
| 912 ## - | |
| -- | ZDB-2-SXSC |
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